hep-th

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# Title: Chaos of Wilson Loop from String Motion near Black Hole Horizon

Abstract: To find the origin of chaos near black hole horizon in string-theoretic AdS/CFT correspondence, we perform a chaos analysis of a suspended string in AdS black hole backgrounds. It has a definite CFT interpretation: chaos of Wilson loops, or in other words, sensitive time-evolution of a quark antiquark force in thermal gauge theories. Our nonlinear numerical simulation of the suspended Nambu-Goto string shows chaos, which would be absent in pure AdS background. The calculated Lyapunov exponent $\lambda$ satisfies the universal bound $\lambda \leq 2\pi T_{\rm H}$ for the Hawking temperature $T_{\rm H}$. We also analyze a toy model of a rectangular string probing the horizon and show that it contains a universal saddle characterized by the surface gravity $2\pi T_{\rm H}$. Our work demonstrates that the black hole horizon is the origin of the chaos, and suggests a close interplay between chaos and quark deconfinement.
 Comments: 12 pages, 7 figures Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc) Report number: OU-HET-964 Cite as: arXiv:1803.06756 [hep-th] (or arXiv:1803.06756v1 [hep-th] for this version)

## Submission history

From: Norihiro Tanahashi [view email]
[v1] Sun, 18 Mar 2018 22:06:10 GMT (3310kb,D)